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Finding the Fourth Proportional to 280,295.60, 420,358.44 and 102,817.04

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Solution

The fourth proportional to 280,295.60, 420,358.44 and 102,817.04 is: 154,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295.60 : 420,358.44 = 102,817.04 : x
  2. Step 2: Convert to fraction form
    280,295.60/420,358.44 = 102,817.04/x
  3. Step 3: Cross multiply
    280,295.60x = 420,358.44 × 102,817.04
  4. Step 4: Simplify right side
    280,295.60x = 43,220,010,539.82
  5. Step 5: Solve for x
    x = 43,220,010,539.82/280,295.60
  6. Step 6: Final answer
    x = 154,194.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.